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Finding the Fourth Proportional to 656.82, 906.26 and 394.79

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Solution

The fourth proportional to 656.82, 906.26 and 394.79 is: 544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.82 : 906.26 = 394.79 : x
  2. Step 2: Convert to fraction form
    656.82/906.26 = 394.79/x
  3. Step 3: Cross multiply
    656.82x = 906.26 × 394.79
  4. Step 4: Simplify right side
    656.82x = 357,775.88
  5. Step 5: Solve for x
    x = 357,775.88/656.82
  6. Step 6: Final answer
    x = 544.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.